A Note on Sums of Primes
Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 452-454

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Under the assumption of the prime /c-tuplets conjecture we show that it is possible to construct an infinite sequence of integers, such that the average of any two is prime.
DOI : 10.4153/CMB-1990-073-7
Mots-clés : 10J15
Granville, Andrew. A Note on Sums of Primes. Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 452-454. doi: 10.4153/CMB-1990-073-7
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[1] 1. Hardy, G. H., Littlewood, J. E., Some problems ofPartitio Numerorum III: On the expression of a number as a sum of primes, Acta Math. 44 (1922) 1–70. Google Scholar

[2] 2. Pomerance, C., Särközy, A., Stewart, C. L., On divisors of sums of integers III, Pacific J. Math. 133 (1988) 363–379. Google Scholar

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